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Finding the Fourth Proportional to 219,405.20, 329,107.80 and 71,661.20

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Solution

The fourth proportional to 219,405.20, 329,107.80 and 71,661.20 is: 107,491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,405.20 : 329,107.80 = 71,661.20 : x
  2. Step 2: Convert to fraction form
    219,405.20/329,107.80 = 71,661.20/x
  3. Step 3: Cross multiply
    219,405.20x = 329,107.80 × 71,661.20
  4. Step 4: Simplify right side
    219,405.20x = 23,584,259,877.36
  5. Step 5: Solve for x
    x = 23,584,259,877.36/219,405.20
  6. Step 6: Final answer
    x = 107,491.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.